Question

3 Identical books and a stationery set have a total mass of 3kg 80g. If the mass of the stationery set is 320g. What is the mass of 2 such books?

Answer 1

Topic

Linear Equations

Given

3 Identical books and a stationery set have a total mass of 3kg 80g. Mass of the stationery set is 320g.

To Find

Mass of such two books.

Solution

Let mass of a book = x

Then,

Mass of three books = 3x

and

Let mass of stationary set = y

It is given that total mass of 3 books and a stationary set is 3 kg and 80 grams.

So,

3x + y = 3 kg 80g

3x + y = ( 3 × 1000 + 80 ) grams

3x + y = 3080 grams

It is given that mass of stationary set that is 'y' is 320 grams.

It means, y = 320 grams

3x + 320 = 3080

3x = 3080 - 320

3x = 2760 grams

x = ( 2760 / 3 ) grams

x = 920 grams

It means mass of a book is 920 grams.

Now,

Mass of such two books will be,

2 times 920 grams

2 × 920 grams

1840 grams

Answer

So, the mass of such two books is 1840 grams.